Hello,
You are right. Doubts arise only after you have understood a topic

if the lesion of 7th nerve is an UMN lesion(internal capsule), what kind of paralysis will be produced at the motor fibres?(ipsilateral or contralateral paralysis and why?)
For the sake of simplicity, lets consider that there are TWO types of motor fibres in the internal capsule - (i) fibres for the facial nucleus and (ii) fibres going down to the spinal cord to supply the limb muscles.
If you consider the right internal capsule, these two types of fibres, both being UMN fibres have not yet decussated to the left side. The facial fibres there are to supply the left facial nucleus and limb fibres to supply the left upper and lower limbs.
If there is a lesion in the
right internal capsule, therefore, the fibres involved are those UMN fibres that supply the left facial nucleus (resulting in
left UMN facial palsy) and left sided limbs (resulting the
left sided hemiplegia).
In this situation, as both the paralysis, that is, paralysis of 'face' and 'limbs' are on the 'same side of the body', it is called 'ipsilateral hemiplegia'. (But please remember that it is of course contralateral to the side of lesion!)
if the lesion of 7th nerve is a LMN lesion, what kind of paralysis will be produced at the motor fibres?(is it a crossed paralysis?)
Now consider a lesion in the
left right brainstem, for example at the level of right pons. What do we have at the level of pons? For the sake of simplicity, let us consider that there are TWO things there - (i) the facial nucleus and (ii) UMN fibres going down to the spinal cord to supply the limb muscles - the pyramidal tract.
The facial nucleus, as you are aware, is made of neurons which constitute the lower motor neurons for the facial nerve. Lower motor neurons DO NOT decussate. On the other hand, the UMN fibres of pyramidal tract for the limbs have NOT YET decussated. Decussation takes place at the level of medulla, which is below the pons.
If there is a lesion at the
right pons, the involvement of the right facial nucleus results in
right LMN facial palsy. Involvement of the pyramidal tract results in
left hemiplegia as the fibres decussate to the left at medullary level.
As the facial palsy and the limb palsy are on 'different sides of the body', this type of palsy is also called 'contralateral hemiplegia' or crossed hemiplegia'.
I will post an image soon to make this further easy to understand. Please do not hesitate to reply if there is anything that is still not clear.
Shashikiran